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Finding the Fourth Proportional to 926.11, 1,277.98 and 506.38

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Solution

The fourth proportional to 926.11, 1,277.98 and 506.38 is: 698.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.11 : 1,277.98 = 506.38 : x
  2. Step 2: Convert to fraction form
    926.11/1,277.98 = 506.38/x
  3. Step 3: Cross multiply
    926.11x = 1,277.98 × 506.38
  4. Step 4: Simplify right side
    926.11x = 647,134.59
  5. Step 5: Solve for x
    x = 647,134.59/926.11
  6. Step 6: Final answer
    x = 698.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.